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Finding the Fourth Proportional to 5,966.08, 8,950.88 and 4,734

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Solution

The fourth proportional to 5,966.08, 8,950.88 and 4,734 is: 7,102.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,966.08 : 8,950.88 = 4,734 : x
  2. Step 2: Convert to fraction form
    5,966.08/8,950.88 = 4,734/x
  3. Step 3: Cross multiply
    5,966.08x = 8,950.88 × 4,734
  4. Step 4: Simplify right side
    5,966.08x = 42,373,465.92
  5. Step 5: Solve for x
    x = 42,373,465.92/5,966.08
  6. Step 6: Final answer
    x = 7,102.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.